What is the 9520th prime number?
The 9520th prime number is 99139. The next prime is 99149 (a gap of 10) and the one before is 99137.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9520th one is 99139.
- 2
99139 is prime because no prime up to ā99139 ā 314.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9520th prime is close to 9520 Ć ln(9520) ā 87214, and here it is 99139.
- 4
99139 is a twin prime: 99137 and 99139 are both prime.
Primes around the 9520th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9517 | 99131 | 12 |
| 9518 | 99133 | 2 |
| 9519 | 99137 | 4 |
| 9520 | 99139 | 2 |
| 9521 | 99149 | 10 |
| 9522 | 99173 | 24 |
| 9523 | 99181 | 8 |
Questions
What is the 9520th prime number?
99139.
Which prime number is 99139?
99139 is the 9520th prime number.
What is the sum of the first 9520 primes?
447,226,183.